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Finding the Fourth Proportional to 630,470,409.60, 944,113,089.60 and 413,887,036.80

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Solution

The fourth proportional to 630,470,409.60, 944,113,089.60 and 413,887,036.80 is: 619,785,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,470,409.60 : 944,113,089.60 = 413,887,036.80 : x
  2. Step 2: Convert to fraction form
    630,470,409.60/944,113,089.60 = 413,887,036.80/x
  3. Step 3: Cross multiply
    630,470,409.60x = 944,113,089.60 × 413,887,036.80
  4. Step 4: Simplify right side
    630,470,409.60x = 390,756,169,058,636,928
  5. Step 5: Solve for x
    x = 390,756,169,058,636,928/630,470,409.60
  6. Step 6: Final answer
    x = 619,785,105.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.